Question

A man sold T.V sets at rupees 12,480 each. On one he gains 20% and on the other he loses 20%. how much does he gain or lose on the whole transaction ?

Answer 1

.

Find the selling price of 2 TV sets:

Selling price of a TV set = 12 480 rupees.

Selling price of 2 TV sets = 12 480 x 2 = 24960 rupees.

.

Find the cost price of the one he gained 20%:

100 + 20 = 120%

120% = 12480

1% = 12480 ÷ 120 = 104

100% = 104 x 100 = 10400 rupees

.

Find the cost price of the one he loses 20%:

100 - 20 = 80%

80% = 12480

1% = 12480 ÷ 80 = 156

100% = 156 x 100 = 15 600 rupees

.

Find total cost price:

Total cost price = 10400 + 15 600 = 26 000 rupees

.

Find loss:

Loss = cost price - selling price

26000 - 24960 = 1040 rupees

.

Find percentage loss:

Percentage Loss = loss/cost price x 100%

percentage loss = 1040/26000 x 100 = 4%

.

Answer: He losses 4%, which is 1040 rupees, from the whole transaction.

Answer 2

let cp be x
transaction of 1st tv set
gain is 20%
gain = 20% of x
1/5x
sp = x+1/5x
12480 =6/5 x
2080=x
cp=2080
gain =1/5x=416

Transaction of 2nd tv set
loss=20% of cp
20/100×2080
416
total sp=24960
gain is 416
loss is 416
so. gain -loss
416-416
0
Therefore. neither the man gained any amount nor he lose any amount in the whole transaction